Recognised as Dice notation
3d288
- 3d288
- 3 to 864
- mean 433.5
Rolling 3d288 gives a total between 3 and 864, with a mean of 433.5 and a standard deviation of 143.9991. There are 23,887,872 equally likely ordered outcomes, and the most likely total is 433 or 434 at 0.26%.
The roll
Notation3d288
Dice3
Faces per die288
Minimum total3all 3 dice showing 1
Maximum total864all 3 dice showing 288
Distinct totals862
Mean433.5n(f + 1)/2 + modifier, exact
Variance20,735.75n(f² − 1)/12, exact
Standard deviation143.99913194≈
Counting the outcomes
Ordered outcomes23,887,872288^3, every die distinguishable
Most likely total433 and 434two totals share the peak
Chance of that total0.260417%≈
Ways to roll it62,208exact count
Chance of the minimum0.00000419%≈1 in 23,887,872
Chance of the maximum0.00000419%≈1 in 23,887,872
Shape of the distribution
862 distinct totals, too many to list individually.
1st percentile114≈1.007% of rolls are this or lower
5th percentile194≈5.016% of rolls are this or lower
25th percentile332≈25.135% of rolls are this or lower
50th percentile434≈50.26% of rolls are this or lower
75th percentile535≈75.082% of rolls are this or lower
95th percentile673≈95.062% of rolls are this or lower
99th percentile753≈99.02% of rolls are this or lower
Chance of rolling at least
8999.5406%≈
21892.9689%≈
43450%≈
6497.1292%≈
7780.4754%≈
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